Greatest Common Factor of 763/253, 7644/7920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/253, 7644/7920

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 763/253,7644/7920

Given fractions are 763/253,7644/7920

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 763,7644

Greatest Common Factor of Numerators i.e. GCF of 763,7644 is 7 .

LCM of Denominators means LCM of 253,7920 as per the given fractions.

LCM of 253,7920 is 182160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,7644

GCF of Fractions 763/253,7644/7920 is 7/182160

7 763, 7644
109, 1092

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 763,7644 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,7644 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644

Greatest Common Factor

We found the factors 763,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 763,7644 is 7.

Lets's calculate LCM of 253,7920

11 253, 7920
23, 720

∴ So the LCM of the given numbers is 11 x 23 x 720 = 182160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/182160

Therefore, the GCF of Fractions 763/253,7644/7920 is 7/182160

Least Common Multiple of 253,7920 with GCF Formula

Least Common Multiple of 253,7920 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 253,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,7920) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(253,7920) x common factors =11 x 1 = 11

LCM(253,7920) = ( 253 × 7920 ) / 11

LCM(253,7920) = 2003760 / 11

LCM(253,7920) = 182160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 763/253, 7644/7920

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 763/253, 7644/7920?

Answer: GCF of Numerators as per given numbers 763/253, 7644/7920 is

GCF of Numerators i.e. for 763,7644 is 7

LCM of denominators i.e. for 253,7920 is 182160.

Thus, GCF of Fractions is 7/182160.Finally, GCF of Fractions for 763/253, 7644/7920 is 7/182160.